where \(\alpha (E)\)  is the efficiency given in Fig. 2 of Ref. [1]} which we take to be 0.8 for our purposes. As a result, the DM detection rate is
\(\frac{dR}{dE}&=n_{\rm Xe}\frac{\rho _2}{m_2}\int \frac{d\langle \sigma v\rangle }{d E_R}R_S(E,E_R)dE_R \nonumber \\&=n_{\rm Xe}~\rho _2\sqrt{\frac{2\Delta m}{m_e}}\frac{\bar{\sigma }_e}{m_2} K^{\prime }(\Delta m)R_S(E,\Delta m),\) 
